Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities
We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderó...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Byun, Sun-Sig [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2015 |
|---|
| Schlagwörter: |
|---|
| Umfang: |
8 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor - Kong, Lirong ELSEVIER, 2018, an international multidisciplinary journal, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:123 ; year:2015 ; pages:150-157 ; extent:8 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.na.2015.05.003 |
|---|
| Katalog-ID: |
ELV034577718 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV034577718 | ||
| 003 | DE-627 | ||
| 005 | 20230624014149.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180603s2015 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.na.2015.05.003 |2 doi | |
| 028 | 5 | 2 | |a GBVA2015012000007.pica |
| 035 | |a (DE-627)ELV034577718 | ||
| 035 | |a (ELSEVIER)S0362-546X(15)00129-7 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 510 | |
| 082 | 0 | 4 | |a 510 |q DE-600 |
| 082 | 0 | 4 | |a 540 |q VZ |
| 084 | |a 35.18 |2 bkl | ||
| 100 | 1 | |a Byun, Sun-Sig |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| 264 | 1 | |c 2015 | |
| 300 | |a 8 | ||
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. | ||
| 650 | 7 | |a secondary |2 Elsevier | |
| 650 | 7 | |a primary |2 Elsevier | |
| 700 | 1 | |a Cho, Yumi |4 oth | |
| 700 | 1 | |a Oh, Jehan |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier, Pergamon Press |a Kong, Lirong ELSEVIER |t Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |d 2018 |d an international multidisciplinary journal |g Amsterdam [u.a.] |w (DE-627)ELV00051683X |
| 773 | 1 | 8 | |g volume:123 |g year:2015 |g pages:150-157 |g extent:8 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.na.2015.05.003 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 936 | b | k | |a 35.18 |j Kolloidchemie |j Grenzflächenchemie |q VZ |
| 951 | |a AR | ||
| 952 | |d 123 |j 2015 |h 150-157 |g 8 | ||
| 953 | |2 045F |a 510 | ||
| author_variant |
s s b ssb |
|---|---|
| matchkey_str |
byunsunsigchoyumiohjehan:2015----:lbladrzgudhoyonnierlitcbtcerbesihsmtt |
| hierarchy_sort_str |
2015 |
| bklnumber |
35.18 |
| publishDate |
2015 |
| allfields |
10.1016/j.na.2015.05.003 doi GBVA2015012000007.pica (DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Byun, Sun-Sig verfasserin aut Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. secondary Elsevier primary Elsevier Cho, Yumi oth Oh, Jehan oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:123 year:2015 pages:150-157 extent:8 https://doi.org/10.1016/j.na.2015.05.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 123 2015 150-157 8 045F 510 |
| spelling |
10.1016/j.na.2015.05.003 doi GBVA2015012000007.pica (DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Byun, Sun-Sig verfasserin aut Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. secondary Elsevier primary Elsevier Cho, Yumi oth Oh, Jehan oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:123 year:2015 pages:150-157 extent:8 https://doi.org/10.1016/j.na.2015.05.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 123 2015 150-157 8 045F 510 |
| allfields_unstemmed |
10.1016/j.na.2015.05.003 doi GBVA2015012000007.pica (DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Byun, Sun-Sig verfasserin aut Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. secondary Elsevier primary Elsevier Cho, Yumi oth Oh, Jehan oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:123 year:2015 pages:150-157 extent:8 https://doi.org/10.1016/j.na.2015.05.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 123 2015 150-157 8 045F 510 |
| allfieldsGer |
10.1016/j.na.2015.05.003 doi GBVA2015012000007.pica (DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Byun, Sun-Sig verfasserin aut Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. secondary Elsevier primary Elsevier Cho, Yumi oth Oh, Jehan oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:123 year:2015 pages:150-157 extent:8 https://doi.org/10.1016/j.na.2015.05.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 123 2015 150-157 8 045F 510 |
| allfieldsSound |
10.1016/j.na.2015.05.003 doi GBVA2015012000007.pica (DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 35.18 bkl Byun, Sun-Sig verfasserin aut Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. secondary Elsevier primary Elsevier Cho, Yumi oth Oh, Jehan oth Enthalten in Elsevier, Pergamon Press Kong, Lirong ELSEVIER Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor 2018 an international multidisciplinary journal Amsterdam [u.a.] (DE-627)ELV00051683X volume:123 year:2015 pages:150-157 extent:8 https://doi.org/10.1016/j.na.2015.05.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 35.18 Kolloidchemie Grenzflächenchemie VZ AR 123 2015 150-157 8 045F 510 |
| language |
English |
| source |
Enthalten in Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor Amsterdam [u.a.] volume:123 year:2015 pages:150-157 extent:8 |
| sourceStr |
Enthalten in Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor Amsterdam [u.a.] volume:123 year:2015 pages:150-157 extent:8 |
| format_phy_str_mv |
Article |
| bklname |
Kolloidchemie Grenzflächenchemie |
| institution |
findex.gbv.de |
| topic_facet |
secondary primary |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |
| authorswithroles_txt_mv |
Byun, Sun-Sig @@aut@@ Cho, Yumi @@oth@@ Oh, Jehan @@oth@@ |
| publishDateDaySort_date |
2015-01-01T00:00:00Z |
| hierarchy_top_id |
ELV00051683X |
| dewey-sort |
3510 |
| id |
ELV034577718 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV034577718</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624014149.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2015 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.na.2015.05.003</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2015012000007.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV034577718</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0362-546X(15)00129-7</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35.18</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Byun, Sun-Sig</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">8</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">secondary</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">primary</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cho, Yumi</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Oh, Jehan</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier, Pergamon Press</subfield><subfield code="a">Kong, Lirong ELSEVIER</subfield><subfield code="t">Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor</subfield><subfield code="d">2018</subfield><subfield code="d">an international multidisciplinary journal</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV00051683X</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:123</subfield><subfield code="g">year:2015</subfield><subfield code="g">pages:150-157</subfield><subfield code="g">extent:8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.na.2015.05.003</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">35.18</subfield><subfield code="j">Kolloidchemie</subfield><subfield code="j">Grenzflächenchemie</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">123</subfield><subfield code="j">2015</subfield><subfield code="h">150-157</subfield><subfield code="g">8</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| author |
Byun, Sun-Sig |
| spellingShingle |
Byun, Sun-Sig ddc 510 ddc 540 bkl 35.18 Elsevier secondary Elsevier primary Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| authorStr |
Byun, Sun-Sig |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV00051683X |
| format |
electronic Article |
| dewey-ones |
510 - Mathematics 540 - Chemistry & allied sciences |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
510 510 DE-600 540 VZ 35.18 bkl Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities secondary Elsevier primary Elsevier |
| topic |
ddc 510 ddc 540 bkl 35.18 Elsevier secondary Elsevier primary |
| topic_unstemmed |
ddc 510 ddc 540 bkl 35.18 Elsevier secondary Elsevier primary |
| topic_browse |
ddc 510 ddc 540 bkl 35.18 Elsevier secondary Elsevier primary |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
y c yc j o jo |
| hierarchy_parent_title |
Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |
| hierarchy_parent_id |
ELV00051683X |
| dewey-tens |
510 - Mathematics 540 - Chemistry |
| hierarchy_top_title |
Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV00051683X |
| title |
Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| ctrlnum |
(DE-627)ELV034577718 (ELSEVIER)S0362-546X(15)00129-7 |
| title_full |
Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| author_sort |
Byun, Sun-Sig |
| journal |
Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |
| journalStr |
Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2015 |
| contenttype_str_mv |
zzz |
| container_start_page |
150 |
| author_browse |
Byun, Sun-Sig |
| container_volume |
123 |
| physical |
8 |
| class |
510 510 DE-600 540 VZ 35.18 bkl |
| format_se |
Elektronische Aufsätze |
| author-letter |
Byun, Sun-Sig |
| doi_str_mv |
10.1016/j.na.2015.05.003 |
| dewey-full |
510 540 |
| title_sort |
global calderón–zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| title_auth |
Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| abstract |
We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. |
| abstractGer |
We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. |
| abstract_unstemmed |
We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U |
| title_short |
Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities |
| url |
https://doi.org/10.1016/j.na.2015.05.003 |
| remote_bool |
true |
| author2 |
Cho, Yumi Oh, Jehan |
| author2Str |
Cho, Yumi Oh, Jehan |
| ppnlink |
ELV00051683X |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth |
| doi_str |
10.1016/j.na.2015.05.003 |
| up_date |
2024-07-06T21:28:01.069Z |
| _version_ |
1803866636098207744 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV034577718</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624014149.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2015 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.na.2015.05.003</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2015012000007.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV034577718</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0362-546X(15)00129-7</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35.18</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Byun, Sun-Sig</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Global Calderón–Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">8</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We study a nonlinear elliptic problem with an irregular obstacle in a bounded nonsmooth domain when the nonlinearity is merely asymptotically regular. We find an optimal regularity requirement on the associated nonlinearity and a minimal geometric condition on the boundary to ensure a global Calderón–Zygmund estimate for such an asymptotically regular obstacle problem. We assume that the associated nonlinearity has a small BMO and the boundary is sufficiently flat in the Reifenberg sense.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">secondary</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">primary</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cho, Yumi</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Oh, Jehan</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier, Pergamon Press</subfield><subfield code="a">Kong, Lirong ELSEVIER</subfield><subfield code="t">Ionic liquid directed construction of foam-like mesoporous boron-doped graphitic carbon nitride electrode for high-performance supercapacitor</subfield><subfield code="d">2018</subfield><subfield code="d">an international multidisciplinary journal</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV00051683X</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:123</subfield><subfield code="g">year:2015</subfield><subfield code="g">pages:150-157</subfield><subfield code="g">extent:8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.na.2015.05.003</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">35.18</subfield><subfield code="j">Kolloidchemie</subfield><subfield code="j">Grenzflächenchemie</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">123</subfield><subfield code="j">2015</subfield><subfield code="h">150-157</subfield><subfield code="g">8</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| score |
7.3984547 |